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Simplifying -4v + -8(4v + 2) = -16 + -5v Reorder the terms: -4v + -8(2 + 4v) = -16 + -5v -4v + (2 * -8 + 4v * -8) = -16 + -5v -4v + (-16 + -32v) = -16 + -5v Reorder the terms: -16 + -4v + -32v = -16 + -5v Combine like terms: -4v + -32v = -36v -16 + -36v = -16 + -5v Add '16' to each side of the equation. -16 + 16 + -36v = -16 + 16 + -5v Combine like terms: -16 + 16 = 0 0 + -36v = -16 + 16 + -5v -36v = -16 + 16 + -5v Combine like terms: -16 + 16 = 0 -36v = 0 + -5v -36v = -5v Solving -36v = -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -36v + 5v = -5v + 5v Combine like terms: -36v + 5v = -31v -31v = -5v + 5v Combine like terms: -5v + 5v = 0 -31v = 0 Divide each side by '-31'. v = 0 Simplifying v = 0
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